Abstract: In the standard universe model Friedmann model, the analytic relation between mass density and cosmological constant density of the static universe condition is a basic relation, which defines the No-Big-Bang region. The classical solution derives the relation by eliminating the curvature and scale factor from the Friedmann equation. The whole process is complex, We find an equivalent solution which can reach the same result easier. The new solution converts this question into a mathematical extreme problem by considering the value range of physical parameters and makes the process more directly.

Key words: Friedmann model, static universe condition, No Big Band region, mass density, cosmological constant density